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Finding the Fourth Proportional to 9,864.86, 13,613.81 and 5,673.11

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Solution

The fourth proportional to 9,864.86, 13,613.81 and 5,673.11 is: 7,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.86 : 13,613.81 = 5,673.11 : x
  2. Step 2: Convert to fraction form
    9,864.86/13,613.81 = 5,673.11/x
  3. Step 3: Cross multiply
    9,864.86x = 13,613.81 × 5,673.11
  4. Step 4: Simplify right side
    9,864.86x = 77,232,545.21
  5. Step 5: Solve for x
    x = 77,232,545.21/9,864.86
  6. Step 6: Final answer
    x = 7,829.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.